Mathematical Models and Methods for Smart Materials

Mathematical Models and Methods for Smart Materials

by Fabrizio, Mauro

Type Book
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This book contains the papers presented at the conference on "Mathematical Models and Methods for Smart Materials", held in Italy in 2001. The papers are divided into four parts:"Methods in Materials Science" deals mainly with mathematical techniques for the investigation of physical systems, such as liquid crystals, materials with internal variables, amorphous materials, and thermoelastic materials. Also, techniques are exhibited for the analysis of stability and controllability of classical m…

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Title Statements

  • Full title :Mathematical Models and Methods for Smart Materials.

Summary

This book contains the papers presented at the conference on "Mathematical Models and Methods for Smart Materials", held in Italy in 2001. The papers are divided into four parts:"Methods in Materials Science" deals mainly with mathematical techniques for the investigation of physical systems, such as liquid crystals, materials with internal variables, amorphous materials, and thermoelastic materials. Also, techniques are exhibited for the analysis of stability and controllability of classical models of continuum mechanics and of dynamical systems."Modelling of Smart Materials" is devoted to mo.

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Edition Statements

  • Publication Date:2002.

Publication Statements

Notes

2. Statement of the problem and results.

The Physical Object

  • Description:1 online resource (396 pages).

Edition Identifiers

  • ISBN:9812382356, 9789812382351
  • oclc:ocn956639672
  • LC Classification:TA418.9.S62 I53 2001
  • Dewey Decimal:620.1/1

Table of Contents

Obituary; Preface; Contents; Temperance for order/disorder transition in nematics; 1. Introduction; 2. Nematic temperance tensor; 3. Decay of negative nematic temperances; Null Lagrangians and surface interaction potentials in nonlinear elasticity; 1. Introduction; 2. Variational Equilibrium Problem; 3. Null Lagrangians; Automatic control problems for integrodifferential parabolic equations; 1. Introduction; 2. The operator W; 3. Notation; 4. Preliminary results on problems (P1) and (P2); 5. Main results on the control problems (CP1) and (CP2).

Asymptotic partition in the linear thermoelasticity backward in time1. Introduction; 2. Linear thermoelasticity backward in time; 3. The transformed boundary-initial value problem. Some auxiliary identities; 4. Asymptotic partition; 5. Concluding remarks; Internal parameters and superconductive phase in metals; 1. Introduction; 2. Aspects of the superconducting phase; 3. A rigid superconductor with internal variable; 4. A constitutive equation for J s; 5. Thermodynamic and electromagnetic compatibility; 6. Final remarks.

Phase relaxation problems with memory and their optimal control1. Introduction; 2. The optimal control problem; 3. Exte…

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